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Controlled synchronization under information constraints.

Alexander L Fradkov¹, Boris Andrievsky, Robin J Evans

¹Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61, Bolshoy V. O. Avenue, 199178, Saint Petersburg, Russia. fradkov@mail.ru

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Summary

This summary is machine-generated.

Controlled synchronization systems with limited channel capacity can achieve synchronization using a coder-decoder scheme. Synchronization error bounds are directly related to transmission errors and inversely to channel capacity.

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Area of Science:

Control Systems Engineering
Information Theory
Nonlinear Dynamics

Background:

Controlled synchronization systems are crucial in various applications.
Information constraints in coupling channels pose significant challenges.
Existing frameworks may not fully address limited capacity scenarios.

Purpose of the Study:

To analyze controlled synchronization systems under information constraints.
To extend Fradkov's framework for limited capacity channels.
To propose and analyze a coder-decoder scheme for master-slave synchronization.

Main Methods:

Utilizing Fradkov's framework for observer-based and master-slave synchronization.
Developing a first-order coder-decoder scheme.
Applying output feedback control based on the passification method.
Theoretical analysis for Lurie-form systems and computer simulations.

Main Results:

The proposed framework is suitable for controlled master-slave synchronization via limited capacity channels.
Synchronization error bounds are proportional to transmission error bounds.
Error bounds are proportional to coupling signal rate and inversely to channel capacity.
Hyperminimum phase property is essential for controlled synchronization, unlike observer-based synchronization.

Conclusions:

A novel coder-decoder scheme enables controlled synchronization under information constraints.
The study provides theoretical bounds for synchronization error based on channel capacity.
The findings are validated using the chaotic Chua system, highlighting the importance of the hyperminimum phase condition.